Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

Delin Wu

Abstract and Applied Analysis, 2009, vol. 2009, 1-15

Abstract:

We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Ω = [ 0 , ð ¿ ] 3 . Assuming ð ‘“ = ð ‘“ ( ð ‘¥ , ð ‘¡ ) ∈ ð ¿ 2 l o c ( ( 0 , 𠑇 ) ; ð · ( ð ´ âˆ’ 1 / 2 ) ) , we establish the existence of the uniform attractors in ð · ( ð ´ 1 / 2 ) and ð · ( ð ´ ) . The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:952657

DOI: 10.1155/2009/952657

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